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Finding the Fourth Proportional to 6,663.40, 9,195.57 and 3,679.36

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Solution

The fourth proportional to 6,663.40, 9,195.57 and 3,679.36 is: 5,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.40 : 9,195.57 = 3,679.36 : x
  2. Step 2: Convert to fraction form
    6,663.40/9,195.57 = 3,679.36/x
  3. Step 3: Cross multiply
    6,663.40x = 9,195.57 × 3,679.36
  4. Step 4: Simplify right side
    6,663.40x = 33,833,812.44
  5. Step 5: Solve for x
    x = 33,833,812.44/6,663.40
  6. Step 6: Final answer
    x = 5,077.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.